Finding the Fourth Proportional to 1,543.59, 2,314.71 and 763.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,543.59 : 2,314.71 = 763.16 : x
2. Step 2: Convert to fraction form
   1,543.59/2,314.71 = 763.16/x
3. Step 3: Cross multiply
   1,543.59x = 2,314.71 × 763.16
4. Step 4: Simplify right side
   1,543.59x = 1,766,482.51
5. Step 5: Solve for x
   x = 1,766,482.51/1,543.59
6. Step 6: Final answer
   x = 1,144.40